Combining forward and backward stochastic differential equations and filtering techniques , the nash equilibrium point of a type of partially observed lq nonzero sum stochastic differential game problem is obtained 摘要结合正倒向随机微分方程理论和滤波技术，给出了一类部分可观测信息下线性二次非零和随机微分对策问题的纳什均衡点。
The first part is based on modern theory of differential games of kind , and complexity of solving saddle point is avoided . the constructing of the barrier and the judgment of expected result is the key of the problem 第一部分基于现代定性微分对策理论,避免定量微分对策中复杂的求解鞍点过程,其关键在于构造界栅,确定期望结果是否能够实现。
Two spacecraft ’ s rendezvous technology in coplanar near - earth orbit with maneuvering target , based on the sight coordinate system is presented in this paper . differential games guidance law ( dggl ) and proportional navigation ( pn ) are studied 本论文研究了近地共面轨道两空间飞行器在目标机动下的在轨交会技术,分别对微分对策制导律和比例导引制导律两种制导方法进行了研究。
For cooperation problems , in order to avoid the difficulty in solving nonlinear problems and to be able to cope with uncertain information , a linearized fuzzy model of cooperative differential game is constructed , based on the thought of t - s fuzzy differential game 摘要对于协商问题，为避免非线性问题带来求解上的困难并且使其能够处理不确定信息，基于t - s模糊微分对策的思想，构造出协商微分对策的模糊线性化模型。
For the problem of the cooperative advertising program with a single manufacturer and a single retailer in a supply chain , the factor of quality is introduced to the mode of goodwill , the payoffs of manufacturer and retailer is analysised based on the mode of which the factor of quality is ignored and the mode of which the factor of quality is considered using markovian nash equilibrium in differential games respectively , and the result is compared , the result show that attaching importance to quality can enhance the payoffs of the players 摘要针对供应链的制造商和零售商的广告合作问题，将质量因素引入商誉模型，并运用微分对策中的马尔可夫纳什均衡分别分析了基于不考虑质量因素模型与考虑质量因素模型的制造商与零售商的利润，并将结果进行了比较，结果显示，重视质量发展可提高成员的利润。
Third , this thesis thoroughly had also studied the three - dimensional differential game guidance law . the first - order differential game guidance law expression was inferred based on the linear quadratic differential game theory , the simulation results showed that this differential game guidance law is correct and effective 接下来,本文还深入研究了三维微分对策制导律,在线性二次型微分对策理论的基础上推导出一阶延迟环节三维微分对策制导律表达式并通过仿真计算得到验证。
By using the method of combining reinforcement learning and differential game theory , the coplanar air combat problem between two aircrafts is analyzed . based on this method , it is avoided to solve the tedious two - point boundary value problem derived from the optimal control theory 本文研究了共面双机空战格斗的动态对策问题，采用增强学习与微分对策相结合的方法，避免了传统的控制理论根据被控对象的精确数学模型和性能指标来求解最优解析解的方法带来的困难。
In the simulation , many practical conditions and realistic aerodynamic data are analyzed . the simulation results show the validity of applying reinforcement - learning - based differential games to coplanar air combat . this paper is outlined as follow : the importance and method of research in the two - aircraft combat is firstly analyzed , and then the general structure and the bases of design are presented 在仿真试验中考虑诸多实际因素，并采用了实际空气动力学参数，仿真结果验证本文所采用的方法的有效性，表明将增强学习与微分对策理论相结合，并应用于空战格斗问题中是?种有前途的发展方向。
6 . nonlinear h - infinite control based on lp ( p l ) gain stability is being extensively investigated recently . we present a theoretic result , i . e . , put forward an inequality approach , which is different from the usual differential game method , to estimate the best control and the worst disturbance 6 .在有限场( p全1 )增益稳定基础上发展起来的非线性枷控制研究方兴未艾，我们作出了一点理论方面的探讨，给出了一个不同于微分对策的估计最佳控制和最糟扰动的不等式方法
The mathematical thought reflected in these researches were , actually , different from modern game theory , but , still , it showed the possibility of dealing with game problems with mathematic tools , and meanwhile , the thought of differential game theory in the early time was included in these researches , which in a way inspired the establishment of game theory 在这些研究中所包含的数学思想与现代博弈理论的思想基本上是不一样的，但也反应出了用数学工具处理博弈问题的可能性，同时也包含了早期微分博弈的思想，对以后的微分博弈理论的创立有一定的启发作用。
